High order stiffly stable composite multistep methods for numerical integration of stiff differential equations

DOI10.1007/BF01951938zbMath0265.65040OpenAlexW2009830417MaRDI QIDQ5681478

Theodore A. Bickart, Zdenek Picel

Publication date: 1973

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01951938

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (8)

Low-order \(A_0\)-stable Adams-type correctors ⋮ Continuous block implicit hybrid one-step methods for ordinary and delay differential equations ⋮ On the order of composite multistep methods for ordinary differential equations ⋮ Arithmetic tests forA-stability,A[α-stability, and stiff-stability] ⋮ Two-Parameter, Arbitrary Order, Exponential Approximations for Stiff Equations ⋮ Methods for the solution ofAXD−BXC=E and its application in the numerical solution of implicit ordinary differential equations ⋮ Stiff ODE solvers: A review of current and coming attractions ⋮ P-stable and P[\(\alpha\),\(\beta\)-stable integration/interpolation methods in the solution of retarded differential-difference equations]

Cites Work

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• On Numerical Integration of Ordinary Differential Equations
• Solution of the Equation $AX + XB = C$ by Inversion of an $M \times M$ or $N \times N$ Matrix
• A note on unconditionally stable linear multistep methods
• Block Implicit One-Step Methods
• A class ofA-stable methods
• A-stable block implicit one-step methods
• A -Stable Composite Multistep Methods

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